Meshfree Methods for Partial Differential Equations V

1. Front Matter

   Pages i-viii

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2. Global-local Petrov-Galerkin formulations in the Meshless Finite Difference Method

   • Slawomir Milewski, Janusz Orkisz

   Pages 1-26

3. Treatment of general domains in two space dimensions in a Partition of Unity Method

   • Marc Alexander Schweitzer*, Maharavo Randrianarivony†

   Pages 27-49

4. Sampling Inequalities and Support Vector Machines for Galerkin Type Data

   • Christian Rieger

   Pages 51-63

5. Meshfree Vectorial Interpolation Based on the Generalized Stokes Problem

   • Csaba Gáspár

   Pages 65-80

6. Pressure XFEM for two-phase incompressible flows with application to 3D droplet problems

   • Sven Gross

   Pages 81-87

7. Special-relativistic Smoothed Particle Hydrodynamics: a benchmark suite

   • Stephan Rosswog

   Pages 89-103

8. An exact particle method for scalar conservation laws and its application to stiff reaction kinetics

   • Yossi Farjoun, Benjamin Seibold

   Pages 105-124

9. Application of Smoothed Particle Hydrodynamics to Structure Formation in Chemical Engineering

   • Franz Keller, Ulrich Nieken

   Pages 125-140

10. Numerical validation of a constraints-based multiscale simulation method for solids

    • Konstantin Fackeldey, Dorian Krause, Rolf Krause

    Pages 141-154

11. Coupling of the Navier-Stokes and the Boltzmann equations with a meshfree particle and kinetic particle methods for a micro cavity

    • Sudarshan Tiwari, Axel Klar

    Pages 155-171

12. Accuracy and Robustness of Kinetic Meshfree Method

    • Konark Arora, Suresh M. Deshpande

    Pages 173-188

13. Kinetic meshless methods for unsteady moving boundaries

    • V. Ramesh, S. Vivek, S. M. Deshpande

    Pages 189-206

14. Efficient cloud refinement for kinetic meshless methods

    • M. Somasekhar, S. Vivek, K. S. Malagi, V. Ramesh, S. M. Deshpande

    Pages 207-217

15. Fast exact evaluation of particle interaction vectors in the finite volume particle method

    • Nathan J. Quinlan, Ruairi M. Nestor

    Pages 219-234

16. Parallel summation of symmetric inter-particle forces in smoothed particle hydrodynamics

    • Johannes Willkomm, H. Martin Bücker

    Pages 235-248

17. Meshfree Wavelet-Galerkin Method for Steady-State Analysis of Nonlinear Microwave Circuits

    • Alla Brunner

    Pages 249-263

18. Back Matter

    Pages 264-270

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The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly mainstream in various applications. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Fifth International Workshop on Meshfree Methods, held in Bonn in August 2009. The articles address the different meshfree methods and their use in applied mathematics, physics and engineering. The volume is intended to foster this highly active and exciting area of interdisciplinary research and to present recent advances and findings in this field.

• element-free Galerkin method
• engineering applications
• meshfree discretizations
• partial differential equations
• partition of unity method
• reproducing kernel particle methods
• smoothed particle hydrodynamics
• stochastic particle methods

• Inst. Numerische Simulation, Universität Bonn, Bonn, Germany

  Michael Griebel

• Inst. f. Parallele und Verteilte Systeme, Universität Stuttgart, Stuttgart, Germany

  Marc Alexander Schweitzer

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